Functions Flashcards
(24 cards)
Truth Table A or B is true when?
True if A or B is true.
Truth Table A or B is false when?
False if A or B are both false.
Truth Table A and B is true when?
True if both A and B are true.
Truth Table A and B is false when?
False when one is false, between A and B.
Define absolute value.
The distance between the origin and given ‘x’.
x ≥ 0 then |x|=x
The absolute value of a nonnegative number is the same as the number.
|x|=-x then x < 0
The absolute value of a negative number is its opposite.
Given the domain and range for f(x)=|x|. x is any real number and output |x|≥ 0, true or false?
True.
True or False. The absolute value of any real number is always positive.
False.
True or False. The absolute value of a negative number is the opposite of the negative number.
True.
True or False. If x<0, then |x|=x.
False.
True or False. If x≥ 0, then |x|=x.
True.
True or False. If x<0, then |x| =-x.
True.
True or False. |π-5|=-(π-5)
True.
True or False. |π-5|= π-5
False.
True or False. |π-5|= 5-π
True.
Name two graphs of function where domain is all real numbers, and range is all non-negative numbers and 0.
The squaring function where f(x)=x^2≥0 and absolute value function where f(x)=|x|≥0
True or False. If x≥ 0, then |x|=-x.
False.
Ex. If |x|<1
then x can be any number between-1 and 1
Ex, If |x|>1
then x can be any number less than-1 or larger than 1
If |x|=1
then x is -1 or 1
If |x|<0
No solution since x will always be greater than or equal to 0
If |x|>0
x is not equal to 0 and every nonzero number is a solution
If |x|=0
then x is equal to 0
